To provide the precise definition of the figure in the image, I would need to know what the figure looks like. However, based on the options you've given, I can explain each of them:
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A line that intersects another line at a 90-degree angle - This describes a perpendicular line or lines.
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A straight figure that has no thickness and extends infinitely in two opposite directions - This describes a line.
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A part of the circumference of a circle or other curve that measures the distance between two points on a curve - This describes an arc.
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A straight line that always remains the same distance from another line and, therefore, never intersects it - This describes parallel lines.
If the figure in the image is a line, the correct response would be "a straight figure that has no thickness and extends infinitely in two opposite directions."
If you can specify what the figure looks like, I can help you determine the correct definition!